I guess I'm just lazy, I roll the cabbage into the run. They chase and peck at it, and it's gone in no time. :cd
Like you, I've tried just rolling the cabbage on the ground. But my girls seem to like it better hanging up. But, they'll go after it either way. And it's fun to watch them jumping around when it's hung.

And would you believe that this is the first time I've used one of the little funny face icons!